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Kosovo Mathematical Olympiad 2016 TST , Problem 1
Kosovo Mathematical Olympiad 2016 TST , Problem 1
Source:
January 9, 2017
equation
Problem Statement
Solve equation in real numbers
x
+
4
x
+
16
x
+
…
+
4
n
x
+
3
−
x
=
1
\sqrt{x+\sqrt{4x+\sqrt{16x+\sqrt{…+\sqrt{4^nx+3}}}}}-\sqrt{x}=1
x
+
4
x
+
16
x
+
…
+
4
n
x
+
3
−
x
=
1
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